Final answer:
To solve the equation 212 - 27L + 70 = 0 for L, subtract 70 from both sides, then subtract 212 from both sides. Finally, divide both sides by -27 to solve for L.
Step-by-step explanation:
To solve the equation 212 - 27L + 70 = 0 for L, we need to isolate the variable on one side of the equation. First, subtract 70 from both sides:
212 - 27L = -70
Next, subtract 212 from both sides:
-27L = -70 - 212
Combine like terms:
-27L = -282
Finally, divide both sides by -27 to solve for L:
L = -282 / -27
Therefore, L = 10.